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Spectral Methods in Geodesy and Geophysics

Spectral Methods in Geodesy and Geophysics
Author: Christopher Jekeli
Publisher: CRC Press
Total Pages: 431
Release: 2017-10-02
Genre: Mathematics
ISBN: 1482245264

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The text develops the principal aspects of applied Fourier analysis and methodology with the main goal to inculcate a different way of perceiving global and regional geodetic and geophysical data, namely from the perspective of the frequency, or spectral, domain rather than the spatial domain. The word "methods" in the title is meant to convey that the transformation of a geophysical signal into the spectral domain can be applied for purposes of analysis as well as rapid computation. The text is written for graduate students; however, Chapters 1 through 4 and parts of 5 can also benefit undergraduates who have a solid and fluent knowledge of integral and differential calculus, have some statistical background, and are not uncomfortable with complex numbers. Concepts are developed by starting from the one-dimensional domain and working up to the spherical domain, which is part of every chapter. Many concepts are illustrated graphically with actual geophysical data primarily from signals of gravity, magnetism, and topography.


Spectral Analysis and Filter Theory in Applied Geophysics

Spectral Analysis and Filter Theory in Applied Geophysics
Author: Burkhard Buttkus
Publisher: Springer Science & Business Media
Total Pages: 665
Release: 2012-12-06
Genre: Science
ISBN: 364257016X

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This state-of-the-art survey serves as a complete overview of the subject. Besides the principles and theoretical foundations, emphasis is laid on practical applicability -- describing not only classical methods, but also modern developments and their applications. Students, researchers and practitioners, especially in the fields of data registration, treatment and evaluation, will find this a wealth of information.


Spectral Analysis in Geophysics

Spectral Analysis in Geophysics
Author: B.M. Båth
Publisher: Elsevier
Total Pages: 580
Release: 2012-12-02
Genre: Science
ISBN: 0444599983

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Spectral Analysis in Geophysics


Encyclopedia of Mathematical Geosciences

Encyclopedia of Mathematical Geosciences
Author: B. S. Daya Sagar
Publisher: Springer Nature
Total Pages: 1744
Release: 2023-07-13
Genre: Science
ISBN: 3030850404

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The Encyclopedia of Mathematical Geosciences is a complete and authoritative reference work. It provides concise explanation on each term that is related to Mathematical Geosciences. Over 300 international scientists, each expert in their specialties, have written around 350 separate articles on different topics of mathematical geosciences including contributions on Artificial Intelligence, Big Data, Compositional Data Analysis, Geomathematics, Geostatistics, Geographical Information Science, Mathematical Morphology, Mathematical Petrology, Multifractals, Multiple Point Statistics, Spatial Data Science, Spatial Statistics, and Stochastic Process Modeling. Each topic incorporates cross-referencing to related articles, and also has its own reference list to lead the reader to essential articles within the published literature. The entries are arranged alphabetically, for easy access, and the subject and author indices are comprehensive and extensive.


Spectral Methods for the Estimation of the Effective Elastic Thickness of the Lithosphere

Spectral Methods for the Estimation of the Effective Elastic Thickness of the Lithosphere
Author: Jonathan Kirby
Publisher: Springer Nature
Total Pages: 472
Release: 2022-11-25
Genre: Science
ISBN: 3031108612

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Although several excellent works exist that describe the effective elastic thickness (Te) of the lithosphere—its theory, significance and relevance to Earth sciences in general—none cover the details of the methods for its estimation. This book brings together the disparate knowledge required to estimate Te in one handy volume: signal processing, harmonic analysis, civil engineering, and foundational mathematics and physics, in addition to the relevant geophysics and, to a lesser extent, geology. Its two principal focus areas are spectral estimation, covering various approaches to estimating the admittance and coherence between gravity and topography using Slepian multitapers and fan wavelets; and algebraic and finite difference solutions of the plate bending partial differential equation in a variety of geological settings. This book would be suitable for postgraduate students beginning their research, up to faculty professors interested in diversifying their skills.


Inertial Navigation Systems with Geodetic Applications

Inertial Navigation Systems with Geodetic Applications
Author: Christopher Jekeli
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 467
Release: 2023-07-24
Genre: Science
ISBN: 3110784394

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This book covers all aspects of inertial navigation systems (INS), including the sensor technology and the estimation of instrument errors, as well as their integration with Global Navigation Satellite Systems, specifically the Global Positioning System (GPS) for geodetic applications. The text is of interest to geodesists, including surveyors, mappers, and photogrammetrists; to engineers in aviation, navigation, guidance, transportation, and robotics; and to scientists involved in aerogeophysics and remote sensing. The most recent developments are covered with this second edition that also features an updated treatment of the classical material. Detailed mathematical derivations of the principles of measurement and data processing of inertial measurement units for both stabilized and strapdown systems. Complete treatment of the error dynamics from a statistical viewpoint, including the Kalman filter. A self-contained description of GPS with emphasis on kinematic applications. Key concepts supported by illustrations and numerical examples.


Physical Geodesy

Physical Geodesy
Author: Jun-Yi Guo
Publisher: Springer Nature
Total Pages: 514
Release: 2023-03-11
Genre: Computers
ISBN: 3031233204

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This textbook introduces physical geodesy. It treats the boundary-value theories of the discipline comprehensively, and provides insights to the theory of gravity reduction based on a spherical Earth model. This book is for students who wish to thoroughly understand the material and to expand their knowledge and skills in mathematics for more advanced study and research in this discipline. The details of mathematical derivations included are a useful asset for instructors and researchers.


Gravity Inversion and Integration

Gravity Inversion and Integration
Author: Lars E. Sjöberg
Publisher: Springer
Total Pages: 391
Release: 2017-04-19
Genre: Science
ISBN: 3319502980

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This book contains theory and applications of gravity both for physical geodesy and geophysics. It identifies classical and modern topics for studying the Earth. Worked-out examples illustrate basic but important concepts of the Earth’s gravity field. In addition, coverage details the Geodetic Reference System 1980, a versatile tool in most applications of gravity data. The authors first introduce the necessary mathematics. They then review classic physical geodesy, including its integral formulas, height systems and their determinations. The next chapter presents modern physical geodesy starting with the original concepts of M.S. Molodensky. A major part of this chapter is a variety of modifying Stokes’ formula for geoid computation by combining terrestrial gravity data and an Earth Gravitational Model. Coverage continues with a discussion that compares today’s methods for modifying Stokes’ formulas for geoid and quasigeoid determination, a description of several modern tools in physical geodesy, and a review of methods for gravity inversion as well as analyses for temporal changes of the gravity field. This book aims to broaden the view of scientists and students in geodesy and geophysics. With a focus on theory, it provides basic and some in-depth knowledge about the field from a geodesist’s perspective. /div


Advanced Geodynamics

Advanced Geodynamics
Author: David T. Sandwell
Publisher: Cambridge University Press
Total Pages: 283
Release: 2022-01-27
Genre: Science
ISBN: 1009021494

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David Sandwell developed this advanced textbook over a period of nearly 30 years for his graduate course at Scripps Institution of Oceanography. The book augments the classic textbook Geodynamics by Don Turcotte and Jerry Schubert, presenting more complex and foundational mathematical methods and approaches to geodynamics. The main new tool developed in the book is the multi-dimensional Fourier transform for solving linear partial differential equations. The book comprises nineteen chapters, including: the latest global data sets; quantitative plate tectonics; plate driving forces associated with lithospheric heat transfer and subduction; the physics of the earthquake cycle; postglacial rebound; and six chapters on gravity field development and interpretation. Each chapter has a set of student exercises that make use of the higher-level mathematical and numerical methods developed in the book. Solutions to the exercises are available online for course instructors, on request.